For more information about this meeting, contact Becky Halpenny.
| Title: | "Long-time Behavior of Stochastic Models" |
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| Seminar: | Ph.D. Oral Comprehensive Examination |
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| Speaker: | Chao Tian, Adviser: Qiang Du, Penn State |
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| Abstract: |
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| In this talk, I will present two examples to illustrate the rich long time dynamics
of stochastic models.
The first example is related to fluid-structure interaction (FSI) which appears in many scientific and engineering problems. The stochastic implicit-interface method (SIIM) is designed to account for the microscopic fluctuation in phase-field or level-set models
of FSI. Formulated as a system of non-linear stochastic partial differential equations with a degenerate additive noise term, the SIIM is formally derived using the fluctuation-dissipation theorem. It is interesting to study its long time asymptotic behavior.
The second example is a bi-stable mean-field model whose mathematical analysis, including the study of mean-field limits, existence of multiple equilibria, and
fluctuation theory was initiated by D.A. Dawson et al. Using the large-deviations theory G. Papanicolaou et al. recently studied the dynamical phase-transitions in such systems due to stochastic fluctuation. We consider various generalizations of such mean-field models and study the phase transitions between different equilibria in various settings. |
Room Reservation Information
| Room Number: | 104 Osmond |
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| Date: | 04 / 29 / 2013 |
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| Time: | 01:00pm - 03:00pm |
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